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Finding the Fourth Proportional to 9,652.53, 14,475.15 and 4,108.50

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Solution

The fourth proportional to 9,652.53, 14,475.15 and 4,108.50 is: 6,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.53 : 14,475.15 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    9,652.53/14,475.15 = 4,108.50/x
  3. Step 3: Cross multiply
    9,652.53x = 14,475.15 × 4,108.50
  4. Step 4: Simplify right side
    9,652.53x = 59,471,153.78
  5. Step 5: Solve for x
    x = 59,471,153.78/9,652.53
  6. Step 6: Final answer
    x = 6,161.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.